PhysicsPhysics QuestionsGravitation-new Questions for CBSE Class 11th

Gravitation-new Questions for CBSE Class 11th

Different points in the earth are at slightly different distances from the sun and hence, experience different forces due to gravitation. For a rigid body, we know that, if various forces act at various points in it, the resultant motion is as if a net force acts on the CM (centre of mass) causing translation and a net torque at the CM causing rotation around an axis through the CM. For the earth-sun system (approximating the earth as a uniform density sphere) [NCERT Exemplar]

Two satellites of same mass are launched in the same orbit of radius r around the earth so as to rotate opposite to each other. If they collide inelastically and stick together as wreckage, the total energy of the system just after collision is

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    When the radius and mass of earth are increased by 0.5%. Which of the following statement is correct at the surface of the earth?

    What is the energy required to launch a m kg satellite from earth’s surface in a circular orbit at an altitude of 2 R ? ( R = radius of the earth)

    If R is the radius of earth, ω is its angular velocjty and g p is the value of g at the poles. The effective value of g at a latitude λ = 60 0 is [JIPMER 2018]

    At what distance (in metre) from the centre of the moon, the intensity of gravitational field will be zero? (Take, mass of earth and moon as 5.98 x 10 24 kg and 7.35 x 10 22 kg respectively and the distance between moon and earth is 3.855x 108 m.) [JIPMER 2018]

    Kepler’s third law states that square of period of revolution (T) of a planet around the sun is proportional to third power of average distance r between the sun and planet, i.e. T 2 = Kr 3 , here K is constant. If the masses of the sun and planet are M and m respectively, then as per Newton’s law of gravitational force of attraction between them is F = G M m r 2 , here G is gravitational constant. The relation between G and K is described as [CBSE AIPMT 2015]

    A body of mass m is raised to a height 10 R from the surface of the earth, where R is the radius of the earth. The increase in potential energy is ( G = universal constant of gravitation, M = mass of the earth and g = acceleration due to gravity) [MHT CET 2014]

    Infinite number of bodies, each of mass 2 kg are situated on X-axis at distance 1m, 2 m, 4 m, 8 m respectively from the origin. The resulting gravitational potential due to this system at the origin will be [NEET 2013]

    A launching vehicle carrying an artificial satellite of mass m is set for launch on the surface of the earth of mass M and radius R. If the satellite is intended to move in a circular orbit of radius 7R, the minimum energy required to be spent by the launching vehicle on the satellite is (Gravitational constant = G) [Manipal 2012]

    Which of the following statement is correct’? (Take, earth as a sphere of uniform density)

    Directions : These questions consists of two statements each printed as Assertion and Reason. While answering these questions you are required to choose anyone of the following four responses Assertion : Gravitational force between two masses in air is F. If they are immersed in water, force will remain F. Reason : Gravitational force does not depend on the medium between the masses.

    the time period of the earth’s satellite revolving at a height of 35800 km is [Kerala CEE 2014]

    The escape velocity on earth is 11.2 km s – 1 . If the body is projected out with twice this velocity, then the speed of the body far away from the earth, ignoring the presence of any other object in universe, will be [MP PET 2013]

    In our solar system, the inter-planetary region has chunks of matter (much smaller in size compared to planets) called asteroids. They [NCERT Exemplar]

    A body is projected from earth’s surface to become its satellite, its time period of revolution will not depend upon

    Energy required in moving a body of mass m from a distance 2R to 4R from centre of earth of mass M is

    Both the earth and the moon are subject to the gravitational force of the sun. As observed from the sun, the orbit of the moon [NCERT Exemplar]

    A planet of mass m is in an elliptical orbit about the sun with an orbital period T . If A be the area of orbit, then its angular momentum would be

    A planet is revolving round the sun in an elliptical orbit, If v is the velocity of the planet when its position vector from the sun is r , then areal velocity of the planet is

    As observed from the earth, the sun appears to move in an approximate circular orbit. For the motion of another planet like mercury as observed from the earth, this would [NCERT Exemplar]

    The required kinetic energy of an object of mass m, so that it may escape, will be

    A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is

    A satellite of the earth is revolving in a circular orbit with a uniform speed v. If gravitational force suddenly disappears, the satellite will

    A planet of mass m moves around the sun of mass M in an elliptical orbit. The maximum and minimum distance of the planet from the sun are r 1 and r 2 , respectively. The time period of the planet is proportional to

    Suppose the gravitational attraction varies inversely as the distance from the earth. The orbital velocity of a satellite in such a case varies as nth power of distance, where n is equal to

    What is the fractional decrease in the value of free fall acceleration g for a particle when it is lifted from the surface to an elevation h? (h ≪ R)

    Particles of masses 2 M , m and M are respectively at points A , B and C with AB = 1/2 ( BC ). m is much-much smaller than M and at time t = 0, they are all at rest as given in figure. At subsequent times before any collision takes place [NCERT Exemplar]

    Two particles of equal mass m go round a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is

    A satellite is moving in a circular orbit round the earth with a diameter of orbit 2 R . At a certain point a rocket fixed to the satellite is fired such that it increases the velocity of the satellite tangentially. The resulting orbit of the satellite would be

    Two spheres of masses m and 2 m are separated by distance d . A particle of mass m 5 is projected straight from 2 m towards m with a velocity v o . Which of the following statements is correct?

    The orbital angular momentum of a satellite revolving at a distance r from the centre is L . If the distance is increased to 16 r , then the new angular mormentum will be

    A rocket is launched vertical from the surface of the earth of radius R with an initial speed v . If atmospheric resistance is neglected, then maximum height attained by the rocket is

    A ring of mass m 1 and radius R is fixed in space at some location. An external agent brings a point mass m 2 from infinity to centre of the ring . Work done by the external agent will be

    If the mass of moon is M 81 , where M is the mass of earth, find the distance of the point, where gravitational field due to earth and moon cancel each other, from the centre of moon. Given that distance between centres of earth and moon is 60 R , where R is the radius of earth.

    Assuming the radius of the earth to be 6.4 X 10 6 m. What is the time period T and speed of satellite for equatorial orbit at 1.4 X 10 3 km above the surface of the earth?

    If an artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of the escape velocity from the earth, the height of the satellite above the surface of the earth is

    Energy of a satellite in circular orbit is E 0 . The energy required to move the satellite in a circular orbit of 3 times the radius of the initial orbit is

    Let E be the energy required to raise a satellite to height h above earth’s surface and E ‘ be the energy required to put the same satellite into orbit at that height. Then, E / E ‘ is equal to

    A person brings a mass of 1 kg from infinity to a point A. Initially, the mass was at rest but it moves at a speed of 2 m s – 1 as it reached at A. The work done by the person on the mass is – 3 J . The potential at A is

    Suppose the gravitational force varies inversely as the nth power of distance. Then, the time period of a planet in circular orbit of radius r around the sun will be proportional to

    Two particles of masses m and M are initially at rest at infinite distance. Find their relative velocity of approach due to gravitational attraction when d is their separation at any instant.

    Three particles each of mass m are located at the vertices of an equilateral triangle of side a . At what speed must they move, if they all revolve under the influence of their gravitational force of attraction in a circular orbit circumscribing the triangle while still preserving the equilateral triangle?

    If gravitational attraction between two point masses be given by F = G m 1 m 2 r 3 Then, the period of a satellite in a circular orbit will be proportional to

    A satellite is revolving round the earth with orbital speed v o . If it stops suddenly, the speed with which it will strike the surface of earth would be ( v e = escape velocity of a particle on earth’s surface)

    Suppose a vertical tunnel is along the diameter of earth (here earth is assumed to be a sphere of uniform mass density ρ ). If a body of mass m is thrown in this tunnel, its acceleration at a distance y from the centre is given by

    The ratio of energy required to raise a satellite to a height h above the earth’s surface to that required to put it into the orbit is

    Two identical thin rings each of radius R are coaxially placed at a distance R . If the rings have a uniform mass distribution and each has masses 2 m and 4 m respectively, then the work done in moving a mass m from centre of one ring to that of the other is

    Directions : These questions consists of two statements each printed as Assertion and Reason. While answering these questions you are required to choose anyone of the following four responses Assertion : Gravitational force between two masses in air is F. If they are immersed in water, force will remain F. Reason : Gravitational force does not depend on the medium between the masses.

    Directions : These questions consists of two statements each printed as Assertion and Reason. While answering these questions you are required to choose anyone of the following four responses Assertion : Gravitational force between two masses in air is F. If they are immersed in water, force will remain F. Reason : Gravitational force does not depend on the medium between the masses.

    A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half of radius of the earth? [NEET 2020]

    A body weighs 200 N on the surface of the earth. How much will it weigh half way down to the centre of the earth? [NEET 2019]

    On the surface of earth acceleration due to gravity is g and gravitational potential is V . Match the Column I with Column II and mark the correct option from the codes given below. Column I (A) At height h = R , value of g (B) At depth h = R 2 , value of g (C) At height h = R , value of V (D) At depth h = R 2 , value of V Column II (p) decreases by a factor 1 4 (q) decrease by a factor 1 2 (r) decrease by a factor 11 8 (s) increases by a factor 2 (t) None

    What is the depth at which the value of acceleration due to gravity becomes 1/ n times the value that the surface of earth? (Radius of earth =R) [NEET 2020]

    The time period of a geo-stationary satellite is 24 h, at a height 6R E (R E is the radius of earth) from surface of earth. The time period of another satellite whose height is 2.5 R E from surface will be [NEET (Odisha) 2019]

    If escape velocity on earth surface is 11.1 kmh -1 then find the escape velocity on moon surface. If mass of moon is 1 81 times of mass of earth and radius of moon is 1 4 times radius of earth.

    A planet is revolving around the sun in a circular orbit with a radius r. The time period is T . If the force between the planet and star is proportional to r -3/2 , then the square of time period is proportional to [AIMS 2018]

    Two satellites A and B revolve round the same planet in coplanar circular orbits lying in the same plane. Their periods of revolutions are 1 h and 8 h, respectively. The radius of the orbit of A is 10 4 km. The speed of B relative to A, when they are close in km/h is [AIIMS 2018]

    The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then, [NEET 2017]

    A spaceship is launched into a circular orbit close to earth’s surface. What additional velocity has now to be imparted to the spaceship in the orbit to overcome the gravitational pull? (Take, radius of earth = 6400kmand g = 9.8 ms -2 ) [AIIMS 2017]

    What is the maximum height attained by a body projected with a velocity equal to one-third of the escape velocity from the surface of the earth? (Radius of the earth = R ) [AIIMS 2017]

    At what height from the surface of earth, the gravitation potential and the value of g are – 5 . 4 × 10 7 Jkg – 2 and 6ms -2 , respectively? (Take, the radius of earth is 6400 km) [NEET 2016]

    The reading of a spring balance corresponds to 100 N while situated at the north pole and a body is kept on it. The weight record on the same scale, if it is shifted to the equator, is (Take, g = 10 ms -2 and radius of the earth, R = 6.4 X 10 6 m) [AIIMS 2015]

    According to Kepler’s law of planetary motion, if T represents time period and r is orbital radius, then for two planets these are related as [Manipal 2015]

    The gravitational field due to a uniform solid sphere of mass M and radius a at the centre of the sphere is [UK PMT 2015]

    Two particles of equal masses go round a circle of radius R under the action of their mutual gravitational attraction. What would be the speed of each particle? [UK PMT 2015]

    What would be the escape velocity from the moon, if the mass of the moon is 7.4 x 10 22 kg and its radius is 1740 km? [UK PMT 2015]

    What would be the value of acceleration due to gravity at a point 5 km below the earth’s surface? (Take, R E = 6400 km, g E = 9.8 ms -2 ) [UK PMT 2015]

    Keeping the mass of the earth as constant, if its radius is reduced to 1/4 th of its initial value, then the period of revolution of the earth about its own axis and passing through the centre (in hours) is (assume the earth to be a solid sphere and its initial period of rotation as 24 h) [EAMCET 2014]

    An artificial satellite moves in a circular orbit around the earth. Total energy of the satellite is given by E. The potential energy of the satellite is

    At a height H from the surface of earth, the total energy of a satellite is equal to the potential energy of a body of equal mass at a height 3R from the surface of the earth(R = radius of the earth). The value of H is [EAMCET 2014]

    If earth were to rotate on its own axis such that the weight of a person at the equator becomes half the weight at the poles, then its time period of rotation is (g = acceleration due to gravity near the poles and R is the radius of earth) (Ignore equatorial bulge) [EAMET 2013]

    The weight of an object is 90 kg at the surface of the earth. If it is taken to a height equal to half of the radius of the earth, then its weight will become [MPPET 2013]

    A geo-stationary satellite is orbiting the earth at a height of 5 R above that surface of the earth, R being the radius of the earth. The time period of another satellite (in hours) at a height of 2 R from the surface of the earth is [CBSE AIPMT 2012]

    When a satellite is moving around the earth with velocity v, then to make the satellite escape, the minimum percentage increase in its velocity should be [BHU 2012]

    The imaginary angular velocity of the earth for which the effective acceleration due to gravity at the equator shall be zero is equal to [AMU 2012J (Take, g = 10 m s – 2 for the acceleration due to gravity, if the earth were at rest, radius of earth equal to 6400 km and λ = 60)

    Two satellites of mass m and 9 m are orbiting a planet in orbits of radius R. Their periods of revolution will be in the ratio of [KCET 2011]

    What is a period of revolution of the earth satellite? Ignore the height of satellite above the surface of the earth. Given, (i) the value of gravitational acceleration, g = 10 ms -2 . (ii) radius of the earth, Re = 6400 km (Take, π = 314) [KCET 2014]

    The value of acceleration due to gravity at the surface of earth [J&K CET 2013]

    A spherical planet has a mass M p and diameter D p . A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to [CBSE AIPMT 2012]

    The escape velocity of a particle from the surface of the earth is given by [J&K CET 2013]

    The distance between the sun and the earth be r, then the angular momentum of the earth around the sun is proportional to [UP CPMT 2012]

    Two identical thin rings A and B each of radius R are co-axially placed at a distance R . If mass of rings are m 1 , m 2 respectively, then the work done in moving a mass m from centre of one ring to that of the other is [UP CPMT 2012J

    Consider a satellite orbiting the earth as shown in the figure below. Let L a and L p represent the angular momentum of the satellite about the earth when at aphelion and perihelion, respectively. Consider the following relations. [AMU 2012] (i) L a = L p (ii) L a = – L p (iii) r a x L a = r p x L p Which of the above relation{s) is/are true?

    The height vertically above the earth’s surface at which the acceleration due to gravity becomes 1 % of its value at the surface is [WB JEE 2011]

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